We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
164
3
avatar+64 

85 more than a square of a number is the same as the sum of the square of the quantity that is 17 less than the number. What is the number?

 Sep 22, 2018
 #1
avatar+99461 
+1

Let N be  the number

 

85 + N^2  = ( N - 17)^2  simplify

 

85 + N^2  = N^2  - 34N + 289    subtract N^2 from both sides

 

85    =  -34N + 289    subtract 289 from  both sides

 

85 - 289  = -34N

 

-204  =  -34N    divide both sides by  -34

 

6  = N

 

 

cool cool cool

 Sep 22, 2018
edited by CPhill  Sep 22, 2018
 #2
avatar
0

Amione, you already answered that question yourself, why are you asking that question again?

 

 

Cphill's solution is wrong, because he got from 

 

85+N2=N2-34*N+289 to

 

85= 34*N+289

 

 

the answer is N=6, not N=-6

 Sep 22, 2018
 #3
avatar+99461 
0

Slight sign error...now corrected...!!!

 

cool cool cool

CPhill  Sep 22, 2018

13 Online Users

avatar